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BITSAT2014MathematicsSequences and SeriesActual

If the (2 p )^ th term of a H . P . is q and the (2 q )^ th term is p , then the 2( p + q )^ th term is-

Options

  1. Ap q 2(p+q)
  2. B2 pq p + q
  3. Cpq p + q
  4. Dp + q pq

Correct answer

D. p + q pq

Step-by-step solution

If a is the first term and d is the common difference of the associated A.P. 1 q = 1 a +(2 p -1) d , 1 p = 1 a +(2 q -1) d d = 1 2 pq If h is the 2( p + q )^ th term 1 ~h = 1 a +(2 p +2 q -1) d = 1 q + 1 p = p + q pq

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